A Mathematical Model for Fibroblast Growth Factor Competition Based on Enzyme

In this paper, we develop a mathematical model for the competitionof two species of fibroblast growth factor, FGF-1 and FGF-2, for thesame cell surface receptor. We provide pathways for thisinteraction using experimental data obtained by Neufeld andGospodarowicz reported in 1986 [9]. These pathways...

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Main Authors: Justin P. Peters, Khalid Boushaba, Marit Nilsen-Hamilton
Format: Article
Language:English
Published: AIMS Press 2005-09-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.789
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author Justin P. Peters
Khalid Boushaba
Marit Nilsen-Hamilton
author_facet Justin P. Peters
Khalid Boushaba
Marit Nilsen-Hamilton
author_sort Justin P. Peters
collection DOAJ
description In this paper, we develop a mathematical model for the competitionof two species of fibroblast growth factor, FGF-1 and FGF-2, for thesame cell surface receptor. We provide pathways for thisinteraction using experimental data obtained by Neufeld andGospodarowicz reported in 1986 [9]. These pathwaysdemonstrate how the interaction of two fibroblast growth factorsaffects cell proliferation. Upon development of these pathways, weuse simulations in MATLAB and optimization to extrapolate the valuesof a variety of biochemical parameters imbedded within the model.Furthermore, it should be possible to use the model as the basis fora testable hypothesis. We explore this predictive ability withfurther simulations in MATLAB.
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institution Kabale University
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publishDate 2005-09-01
publisher AIMS Press
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spelling doaj-art-9431cefbbba54eb7a76e7b4b2e6e24352025-01-24T01:49:46ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-09-012478981010.3934/mbe.2005.2.789A Mathematical Model for Fibroblast Growth Factor Competition Based on EnzymeJustin P. Peters0Khalid Boushaba1Marit Nilsen-Hamilton2Department of Mathematics, Iowa State University, Carver Hall, Ames, IA 50011Iowa State University, Department of Mathematics, 482 Carver Hall Ames, IA 50011Department of Biochemistry, Biophysics, and Molecular Biology, Iowa State University, Biology Building Ames, IA 50011In this paper, we develop a mathematical model for the competitionof two species of fibroblast growth factor, FGF-1 and FGF-2, for thesame cell surface receptor. We provide pathways for thisinteraction using experimental data obtained by Neufeld andGospodarowicz reported in 1986 [9]. These pathwaysdemonstrate how the interaction of two fibroblast growth factorsaffects cell proliferation. Upon development of these pathways, weuse simulations in MATLAB and optimization to extrapolate the valuesof a variety of biochemical parameters imbedded within the model.Furthermore, it should be possible to use the model as the basis fora testable hypothesis. We explore this predictive ability withfurther simulations in MATLAB.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.789growth factorsmathematical modelbiological dataoptimization.enzyme kinetics
spellingShingle Justin P. Peters
Khalid Boushaba
Marit Nilsen-Hamilton
A Mathematical Model for Fibroblast Growth Factor Competition Based on Enzyme
Mathematical Biosciences and Engineering
growth factors
mathematical model
biological data
optimization.
enzyme kinetics
title A Mathematical Model for Fibroblast Growth Factor Competition Based on Enzyme
title_full A Mathematical Model for Fibroblast Growth Factor Competition Based on Enzyme
title_fullStr A Mathematical Model for Fibroblast Growth Factor Competition Based on Enzyme
title_full_unstemmed A Mathematical Model for Fibroblast Growth Factor Competition Based on Enzyme
title_short A Mathematical Model for Fibroblast Growth Factor Competition Based on Enzyme
title_sort mathematical model for fibroblast growth factor competition based on enzyme
topic growth factors
mathematical model
biological data
optimization.
enzyme kinetics
url https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.789
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